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A107034 Expansion of q^(-5/24) eta(q)eta(q^4) in powers of q. +0
2
1, -1, -1, 0, -1, 2, 1, 1, -1, 0, 1, -1, -1, -1, 0, -2, 1, 0, 0, 1, 2, -1, 0, 1, 0, 1, 0, 1, 1, -1, -3, 0, -1, 1, -1, -1, 0, 0, 0, 1, -2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, -1, 1, -3, 0, 1, 0, -1, -1, 0, 1, 0, 0, -2, 0, -1, -1, 0, -2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, -1, 1, 0, 2, -1, 0, 2, -1, -2, 0, 1, 1, 0, 2, -1, -1, -1, -1, 0, 0, 0, -1, 0 (list; graph; listen)
OFFSET

0,6

REFERENCES

H. Kahl, G. Koehler, Components of Hecke theta series, J. Math. Anal. Appl. 232 (1999), no. 2, 312-331, see page 320. MR1683136 (2000e:11051)

FORMULA

Euler transform of period 4 sequence [ -1, -1, -1, -2, ...].

G.f. Product_{k>0} (1-x^k)(1-x^(4k)).

PROGRAM

(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)*eta(x^4+A), n))}

CROSSREFS

Sequence in context: A037801 A053252 A117195 this_sequence A117410 A087810 A052314

Adjacent sequences: A107031 A107032 A107033 this_sequence A107035 A107036 A107037

KEYWORD

sign

AUTHOR

Michael Somos, May 09 2005

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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